We don’t have access to all the information you do, in order to help with your questions, however I’d say your opening line gives a clue.
I have seen it said repeatedly on this forum that you become what your train (predominately) so if the majority of your past riding focus has been on longer sustained efforts then this would possibly be a part of the explanation for your perceived relative weakness in the 2 minute power bracket?
Good news is that like most things, if you focus on it a bit, you can train it to improve.
Ref the actual protocol you’ve been given; I’d recommend exploring with your coach why the rest intervals between efforts are so short.
My natural initial thought is that if you are struggling so badly out of the gate then the benefit of continuing with this protocol will be somewhat stunted as you won’t get through enough of the ‘set’ to generate the adaptations you’re seeking plus it’s mentally draining and demotivating to feel you’re not even getting half the intervals done.
Might be an option to initially build in much longer rest gaps between efforts to allow you to complete the set of intervals. Then as your body adapts, bring down the length of the rest periods over time. Aka the same sort of principle that you see in some of the TR progressions.
My own 90s to 2min power is my (only) relative cycling strength and stands out like a sore thumb on my power curve, relative to the shit-show that is the rest of my lacklustre cycling ability.
I attribute this not to genetics but to my past life before cycling - 33 years of lifting weights with a rep range that meant my time under tension was around the 1 minute to 90s time frame (another example of becoming what you train and focus on?).
Best advice that’s been repeated on this thread is to talk with your coach, tell him/her how you feel, ask the right questions and get a better understanding from them of what they are seeking to achieve with the protocol you’ve been prescribed. Then between you, you’ll be better placed to decide whether to continue ‘as is’ or make some tweaks.
NB: 3.7 w/kg is a damn good place to be at this point in time with plenty of scope to bring that up towards the magic 4W/kg over the coming months
Good luck with your training