Regarding promoting "the vaccine": I think TGK might mean by this that they gave permission for the faithful to take it.
That is clearly not promoting it, and the Benedictines and most of the Resistance clergy took the same position on the morality of receiving the jab if you needed to keep your job or if you were convinced that it was for the good of your health etc.
There were a few conservative churchmen who considered it gravely immoral, and I clearly recall Bishop Williamson said in one of his sermons "and I think they're right, I think they're right", however he didn't say it in a definitive dogmatic fashion, there was uncertainty even with him and I don't know what advice he gave to individuals who approached him.
It is false to say the Dominicans "promoted" the jab, and a private email is not promoting something... you would certainly lose your job as a promotion company if that were your approach. No doubt that private email contains a permission rather than a promotion.

Yes, consider the source. People said the same thing about Bp Williamson and the New Mass, and we all know the truth about that.

Giving private permission in one specific case does NOT constitute "promotion" or "open permission for all" to do the same.

Priests who do their job, who take morality seriously, who distinguish between dogma and non-dogma, are penalized in the court of public opinion, because their actions and words aren't "black and white" enough.
Priests who are careful to stay within the lines of truth are easier to lie about on Social Media, because you can use HALF TRUTHS, DISTORTIONS, and EXAGGERATIONS in addition to good-old LIES in your campaigns against them.

If one's position and actions must be reduced to CAVEMAN SPEECH in order for you to be happy, then

TOO BAD

Grow some more brain cells. The handful you have are getting pretty lonely.

Incidentally -- regarding the two accusations, one of them is probably a nothingburger anyway.

The "attending SSPX Masses" is a red herring. There is nothing to be ashamed of for holding the "yellow light" position.

We're not Hewko cultists, nor Pfeifferites. We don't promote the Red Light position around here. That is a convenient position for priests who want jurisdiction and control over more territory than they can possibly serve. So they have to come up with doctrine(s) to keep their "Faithful" in the wings, waiting on these priests to show up once or twice a year, NOT moving on to other chapels or priests in the meantime.

We have to be rational and reasonable about the SSPX. They have valid priests. They are not all part of a Borg-style hive mind collective. Yes, the ship has sprung a leak, YES, your local chapel with that conservative priest could be gone at any time, replaced with a "new style" SSPX priest. So you need to be starting your Resistance chapels NOW if you hope to have Mass in 5 or 10 years. But is it sinful to attend most SSPX Masses? Of course not.

But validity isn't everything. Or else think of all the 100% valid priests who pushed Vatican II and the New Mass on their faithful!
The SSPX has similarly fallen. They are full of Modernism now. You can be validly ordained, even say the Tridentine Mass, and be HORRIBLY formed and with errors and even Modernism in your brain.

For those unfamiliar, there are various positions on the SSPX:

Red Light: 100% of SSPX chapels are evil, as of TODAY, they are sinful to attend, and must be avoided.

Yellow Light: The SSPX has fallen as an organization. The formation has changed; younger priests aren't even Traditionally formed; there are mostly valid priests, but the organization is no longer fighting Vatican II, etc. In short, the lifeboat has sprung a leak and we must work to find replacements IMMEDIATELY. We can no longer count on the SSPX to be a lifeboat to preserve us through the Crisis, even if there are some intact lifeboats here or there at the moment. It is already a bad idea to attend many of the SSPX chapels. Others are fine FOR NOW, but that could change AT ANY TIME. Do not count on the SSPX as you did 15 years ago.

Green Light: There is nothing wrong with the SSPX. They are great. Full speed ahead! No need to come up with alternative chapels/options for Mass, etc. No need for any Resistance movement, no need to support the Resistance.

As much as I reject the Red Light, I equally reject the Green Light position. There is clearly a problem with the SSPX. The ship has certainly sprung a leak. The remaining "good priests" are on borrowed time. Not only will they not live forever, they also have bosses who can censure them, control them, and move them. And even before DEATH, there are things like disability, retirement, transfer, etc. The younger you are, the more you should be concerned. Actually -- the younger THE YOUNGEST MEMBER OF YOUR FAMILY IS, the more you should be concerned. If you have children, they have a LONG WAY TO GO. They will outlive ALL of your favorite "classic" or "old school" SSPX priests. The SSPX isn't forming priests like that anymore. PERIOD. You need to plan for your future. Be the ant, not the grasshopper.

Yeah this is worry to me, the SSPX is the only chapel available to me, there is literally 0 other options for me bar a greek+Ukrainian catholic church, both my priests are old and 1 is already in bad health. So I do wonder what will happen when 1 of them finally dies and get replaced.