This is not a good advice. Never buy +1 weapons (items) unless they are really rare. Wait until you get a second loompoint and trade both of them (+ some gold) for the item you want. Most +1 items will cost atleast 300k. To get them to +3 you will need 2 more loompoints. By offering 2 loompoints for a +3 you save up to 300k gold (2/3 of another loompoint). It is usually a good idea to loom gauntlets first. They have a high value on the marketplace and you can use them with each class.
That doesn't work for every build. Cavalry LOSE money over gens, so they can't sell 2 loom points + use the gold they've acquired over those 2 gens and get a +3 item. For cavalry I WOULD suggest selling your first loompoint, and buying a +1 (horse) with the money you make, and still hopefully have 100k or so left over. That 100k should tide you over for a couple gens of upkeep. Next 2 retirements put your loom points to making your horse +3. 4th loompoint, sell it again and buy your +1 weapon on the market and have some more money left over.
If you're a footman, then yes, I would suggest either selling your first loom and holding onto the money, or just wait on it, and sell 2 of your looms at once and use the money (plus what you've made as footman) to buy a +3 item.
I'd recommend if you know what build you like playing as, to loom your weapon first, then your body armor. If you're cavalry, then I'd loom your horse first, and then weapon.
I don't agree with the advice to loom gauntlets first. The logic they suggest is good (that you can use the gauntlets with any class), but body armor is better, so figure out what class your main will be, and stick with it. Most body armor at +3 will give you 5 more body and leg armor. +3 gauntlets will typically only give you 5 more body armor. What's better, 5 additional body and leg armor, or just 5 additional body armor?