Ostheer has to stay a little longer in their base (building T1) to get the most diverse unit selection early game, it's balanced as it is imo.
Well first off personal opinion has little validity behind it if you do not even show playercard or hold active rank according to this site. You also are plain wrong in many ways: Soviet has the access to most diverse units early on. Ironically enough they do not get punished for this the same way ostheer does.
I clearly went through the flow of 1v1 game if one would choose to play ostheer without current meta call in units. Even though you have limited 1v1 experience in form of only 24 games played you should understand why this is unbalanced. There is no need for mortar or sniper in current meta within the first 4-5 minutes so that variety you claim that balances out being handicapped in map presence and arguable poor performance of grens does not happen.
If your claim of ostheer having such great team weapons is true then wouldn't this change actually nerf them in teamgames? From your teamgame perspective with this change HMG would be few seconds later and gren a bit sooner, for those who want to go for HMG.
As it stands in the current 1v1 meta people are desperate to fix this early weakness by using ostruppen and assault grenadiers. With this change the builds incorporating HMGs would change very little but in addison we could also allow another competitive option for those who do not want to go HMG first in and make grenadiers meta mainline again without touching the unit. As they should be.