I'm trying to understand the points you are making here - and failing. I think you have an incorrect view of FFP, for these reasons:-
There is nothing under the FFP regulations that "prevents money being genuinely pumped into clubs via equity purchase". As long as money injected by an owner is used for purposes such as building or improving a stadium, or a new training ground, or an academy [sound familiar?], ie capital projects, then that expenditure is fine under FFP (which explicitly excludes investment in Youth Development and the purchase, sale and depreciation of fixed assets excluding players). Your comment about what position Albion would be in, if FFP had been in force 5 years ago, is meaningless, as it wouldn't have affected a single thing that the club has done in those 5 years.
However, trying to link Forest's sponsorship deal to this type of "good" capital expenditure is bizarre. It would seem that the sponsorship deal is clearly an attempt to artificially inflate Forest's revenue, with the sole purpose of allowing their expenses (ie player wages) to be commensurately higher than they would otherwise have been (if they had followed the rules). It is exactly this type of short-term, unsustainable, dash-for-the-Premier-League-riches spending that has caused issues for many clubs in recent seasons.
I applaud the Football League's efforts to attempt to rein in this profligacy and hopefully move towards greater self-sustaining finances amongst Championship clubs. We will all have to wait and see whether these regulations really do have teeth, and which clubs are taking the issue seriously.
FFP not only allows 'non-returnable' investment, (such as equity purchase), to be used for capital investment but also allows owners to personally loan or to take out commercial loans for this purpose - it is this latter type of debt that Drew pointed out can be the real cause of financial difficulties. This 'exemption' only serves to highlight that FFP isn't actually addressing the real cause of clubs getting into difficulties, (ie debt), but rather just one area of expenditure.
If FF regulations were in force and strictly enforced whilst we were in our last few years at Withdean and for our first few seasons at the Amex we would either have faced sanctions or would have had to reduce our 'spending' drastically - it's all very well to say capital expenditure can be ignored as far as FFP is concerned but that doesn't apply to the additional costs involved in running those facilities nor, more importantly, does it make the debts incurred in building them any less real.
Equity purchase or schemes such as the sponsorship deals mentioned do not threaten clubs in any way - they simply inject funds into the club that can be used for either capital or current expenditure - they do not increase debt, the real cause of clubs failing.
In summary FFP seems to be targeting a single factor, albeit a major one, players wages - a 'good thing' most people appear to be saying but this ignores the points very well made by Perseus at #36
Means we cannot sign first team Premiership players because their wages are too high. Might be able to get youngsters and old timers but not peak age players. So any new players will have to come from the lower divisions, Premier youngsters that cannot make the grade or foreigners
This effect will not only be seen in the Championship but also in all the lower leagues. The financial restrictions are not level between the Premier League and the Championship and are also not the same between the Championship and the lower leagues. This means that those clubs who do get promoted are unlikely to have a team that can successfully compete in the higher league without a huge investment in new players which in turn can only lead to bigger debts - debts that proponents of FFP claim will be restricted by the regulations but is actually doing the exact opposite.
The principle of regulations to ensure the sustainability of individual clubs should be directed in my opinion at debts not at financial losses - losses financed by owners via means other than loans do not threaten a club's future.