Looks RL like 5-15 minutes for a soft suit inside the spacecraft, and 2.5 hours for EVA. Much longer prep for the prebreathing to avoid bends.
The Russian suit is faster to get into because the entry hatch is in the back, and their higher pressure could mean less prebreathing prep at the expense of flexible movement. Otherwise similar operating speeds.
So environment biomedical concerns burns more time then the suits themselves.
Also fun fact, EVA suits are multimillion dollar affairs.
So we don’t have narrative time for all that.
My shortcut would be to use the CT or soft suit type as the in spacecraft version and past TL8-9 more like putting on coveralls, with just the oxygen to ship hose. Then the various heavy environmental suits are EVA capable, use the rear hatch system with the suit ready to go.
For avoiding the bends, magic drug, my working name is Nitrox, gets the nitrogen out fast. Auto inject for higher end suits, takes 20 minutes. Good for dives too. Pushes believability but we got stories to tell.
But does give you time for a typical CT/HG turn to suit up in prep for controlled decompression which you should be doing anyway.
The rescue bubbles are of course 5 minute zip affairs, but not good for any length of time.
Of course your heroes can make the decision to go for it and risk the bends, or run high pressures and take negative task DMs.
Could be at higher TLs the suit materials can maintain flexibility at higher pressures and so pop into the suit and go is reasonable.