Yes, masters degree plus 25 years continuous professional experience
No. The propellers or stirrers have no significant effect on the pressure in the tank.
The yeast will experience a pressure equal to "static pressure" + "hydrostatic pressure"
If the tank is open then static pressure will be atmospheric pressure (1atm).
If they're closed and fermenting under pressure then it will be atmospheric pressure
plus whatever the spunding valve is set to - I would guess about 15psi or 1bar or 1atm, making it something like 2atm static pressure.
Now we add on hydrostatic pressure which is density x gravity x depth. At the surface the depth is zero so hydrostatic pressure is also zero. But in a 10m tall tank hydrostatic pressure at the bottom would be about 1atm.
So, adding together both the static and hydrostatic pressure components, in a 10m tall pressurised FV it's plausible the yeast at the bottom are experiencing a total of 3atm pressure, the same as you would experience scuba diving at a depth of 20m - all this for an organism that, like you and me, has evolved to live in 1atm.
Now what Prof. Maskell says in her tweet is that according to her research, depths less than many metres can have an impact on yeast.
But what she doesn't say is when is depth no longer significant, e.g. mm, cm, 10's of cm, m.