Don't even know where to begin with the crafting tokens for relic.

[Granyala]

I am more wondering if it would it be faster to just level one gathering class and sell things to make money and buy the materials or faster to level each gathering class to farm all of the materials.

Look up the mats and assess the prices on your server.

If you need more than the initial HQ Chimera gathering gear (will cost you close a million gil even w/o melds) to gather the items, you are either time gated by the red scripts (forget end of January lol) or you need to spend A LOT MORE MILLIONS to buy crafted DoL gear.

Bottom line: waiting for the items to come down in price is probably your cheapest way out in terms of both: gil and playtime invested.

Just to make this crystal clear: this is NOT World of Warcraft. You do NOT just level up a gatherer and go on happy gathering excursions. They need GEAR and certain STATS in order to be able to collect the items (let alone get them in HQ), so no matter how you slice it you are looking at a seven figure initial investment at the least. More if you want to push through quicker.