That is not a complete fix as the teams that lose EE do not have adequate resources to develop options. That is, the resources (budget & 20 AP / recruit) are not made available until the start of period #2. Even with the change that you suggest, and even with the assumption that the EE is completely foreseeable, those coaches would be starting from way behind.
Now, if WIS has decided that D1 should be pretty much a flat earth, then fine, but teams that lose EE are not effectively able to "plan" to replace when they are competing against D2 teams in a race to unlock actions on those "whenever" & "late" recruits while the risk grows with each cycle that they jump down to D2 or even D3 very late.
The fact, that has been beaten to death on the forums, is that that an OVR ranked recruit should have an enormous preference for playing in D1. So much so, that rejecting D3 effort outright is necessary and rejecting D2 effort until the 2nd cycle is a good option. That would save D2 schools from wasting effort, but it would also ensure a pool of somewhat decent talent for those D1 schools that cannot find adequate replacements. At least that way, the race would be on an even footing.