I think there's as many answers as there are people on this board.
Many of us have been doing this for years and decades (I started my 'hobby' back in July 1992) so that's some 31 years of taping. I've owned practically every set of small mic that exists out there (from AIWA and Sony Lapel/Tie Mics, to Core Sounds Binaurals and Giant Squid Audio Labs (yes, those pieces of crap), to Sound Professionals CMC-4's and CMC-8's, to Church Audio CA-10, CA-11 and CA-14's, to DPA 4061's to capsules with actives (AKG CK61 and CK63 with Naiant Actives and nBob Actives as well as Schoeps MK41 and MK22's with Naiant Actives). All sorts of battery box / preamp / etc. solutions as well. I also own Line Audio CM3 subcards. For recorders, I've owned everything from Analog Walkmans, to Sony Pro Walkmans, to Portable DAT machines, MiniDisc Recorders and Digitial Recorders (Edirol/Roland R-09, Sony M10, Tascam DR-2D, Sony A10 and then larger XLR based recorders including a Tascam DR-60D, DR-70D, DR-701D, Zoom F4 and currently run a Sound Devices MixPre-6 II (and am not looking to move from that as it does everything I need it to do and has yet to fail me).
Is one set of mics 'better' than another - you bet. Is the price difference between Line Audio and Schoeps worth it? That's going to be up to you. To give you an idea, I've had the best mics available to me (Schopes MK41's) that had to be located by the soundboard at one venue which sounds like crap by that point and have used my Church Audio CA-14's with Ugly Battery Box in the sweet spot, and I'll take the Church Audio CA-14 recording EVERY time. The best mics weren't in the best spot.
Now, all things being equal, if the soundboard area is the sweet spot -- then most definitely by the best mics you can get. Do you need Schoeps? Most likely not. Will the bug get you at some point down the road and will you to upgrade -- quite possibly. For me, I stuck with my CK63 nBob Actives because the financial outlay was more reasonable than the MK41's (about US$800-1K difference). The CK63's sound great to me in most of my captures (I just used them a few nights ago in a not-so open environment and they sounded good for what it was). If you're able to get a board feed and then are mixing that feed with your mics, the mics won't matter as much as the location of where they are (again, sweet spot versus being stuck at a board). If you're simply capturing room tone, and you're forced to be at the board area, then it'll depend on what it sounds like back there.
Berliner CM33's are good... Line Audio puts out some good, affordable, product.
Welcome to your journey down the rabbit hole.