The BHA should do something more creative around the penalties (which now seem to the nub of the issue, rather than the whip-count itself).
Instead of forfeiting a jockey's riding fee, instead fine them over-weight in their next race..............say 1lb for every strike over the limit on the Flat, and 2lbs over Jumps.
At least some jockeys would lose rides on this basis, as doubtless owners would prefer to switch pilots than have their horses carry extra weight. By extension, transgressors will still receive a punishment - but one perhaps more proportionate than they face at present?
Assuming this is a serious suggestion, there are too many flaws and variables. If the jockey is left on at the revised weight, he suffers no penalty but the horse is subjected to carrying increased weight (and what happens if the next ride is scheduled to carry the permitted maximum topweight already?), the trainer and owner - who may not be the same connections as for the horse upon which the transgression occurred - are disadvantaged, and as for the effect on punters...you back a horse based on it carrying X weight and then find that at half an hour's notice or less it has to carry Y weight, which could be pounds more?
Even if the jockey lost his next ride, the onus is switched to the trainer - who again, may not have trained the horse on whom the jockey broke the whip rules - to run round like the proverbial finding a short-notice replacement, and once more the punter is left in the dark as to which jockey will be carrying his money.
The jockeys seem to be, mostly, in agreement that it's not the reduced number of permitted strikes in and of itself that is the problem - if this 'final furlong' anomaly could be ironed out. That suggests that they don't actually see anything wrong or difficult in adhering to the lowered number if they can deploy them anytime. That being the case, I see no reason why the severity of the penalties should be reduced. If the number of permitted whip strokes agreed on is reasonable, and the initial PJA feedback plus Richard Hughes's comments in yesterday's RP suggests that it is, then why shouldn't the penalties for trangression be severe? Otherwise, the jockeys are saying "yeah, we can stick to 7/8 strokes but just in case we can't, we don't think we should be particularly punished for hitting the horse more often. Just give us a soft penalty for hitting it one time more. Or two times more, that's not much either. Or three times more, in case I'm riding a lazy bugger..." Where does it end? Confusion, subjectivity, one steward's view being X, another's on the same ride being Y, some poor beast being leathered 24 times to win a Group 1 because the sanctions for the jockey are sufficiently toothless to make it worthwhile...