3rd idea is 1200 + 600. This is in the area of the 1800+ MIL someone who mil focuses would get. If a player tries to shave 30 mil he's either going to slow down expansion due to holding off on a potentially strong attack window (it'd be easy to get mil 6 in this timeframe) or Bobby Burgundy is going to MIL focus, take offensive + 1 idea for leader shock, and France gets its pants pulled down. It's crazy that in the same paragraph you're talking about holding back miltech to get a small monarch points saving you're also drumming up the benefit of taking a military tech ahead of years.
It's timing military tech. If you're admin focused (and if you go an admin idea first, I assumed you must be) you're talking about getting 1200 in admin points for those 3 ideas before you get 999 capped in military, to be at 4 mil tech when the bonus hits. I agree this is kinda silly, but, being at 5 (which I also stated and is probably normal) is probably a matter of just waiting very briefly for that third admin idea to finish and then promptly buying mil 6. I fail to see how this is unreasonable. If someone attacks you, the mil points are banked and there, and you can just buy 6 immediately. Sitting on 4 waiting for 5 is risky since it's an infantry upgrade, but if your admin points are off the charts, not out of the question.
It's not just a matter of being ahead of tech, it's about timing your tech. You want to be a tech, maybe two, ahead in mil when you fight the strong opponent. My argument is not that taking innovative means you will magically be parked at the top all the time, it means you have the option of focusing it and having it when it matters; a year maybe two before someone who doesn't have it's -5% and france's own idea could even if they wanted to - your mil cost is in the nine hundreds when everyone else has to pay over a thousand. I'm not suggesting you spend out the ass on mil to be constantly at the top all game, but you can when it matters.
If you're playing SP, innovative is utter junk for a nation like France. 30 admin saved is 6 base tax worth of coring, and you can get admin ideas 2 even faster, if you want to do so. You're also well behind in utility gain from diplomatic, influence, offensive (siege ability = faster wars), exploration (to bash colonizers and snag gold provinces early, while fleecing AI for money overseas), and maybe even quantity, which will give you similar monarch points savings if you build only one building per year lol.
Look, I completely agree, but every single one of those idea groups you listed is NOT the same type of group. The OP compares inno with econ. I don't consider econ on this kind of country, so I'm personally comparing it to religious/humanist or administrative. I mean yeah, if I'm playing France I am buying a diplo or mil group first too (probably influence), but that's a totally different cluster.
Also, the -5% is an additive bonus. That's always worth 30 points.
Right, I think only one guy goofed that and was ignored. It does stack with other bonuses though, allowing you easily -15% or more, which can lead to you dropping a tech cost under 999 a full 2 years before someone else.
Regardless, the tech advantage from innovative is grossly overblown especially in single player. I'd rather have humanist to laugh at the reformation as an ADM group, but in practice I'd rather have diplomatic and influence as France in SP, giving it the diprep and stacking its NI for -annex cost together with -province costs to go on a tear. Toss in Aristocratic for an extra diplomat (France doesn't need much more fighting power) and go to town.
Look, I'm not saying I don't agree with you completely in personal practice... but a country that gets an innate -tech bonus DOES get good value for stacking them up. When you can combine them to get a tech advantage either at a really important jump, or a 2 tech advantage over at least a majority of a coalition, it can decide an entire game. I find a major breaking point is that first really massive coalition buildup, which is often coincidentally right when you may be able to snag mil 12 while they're mostly all at 10... and crush everyone.