There's not a huge difference. The Limited priority gachas (new character and reissued) have slightly higher chances of drawing the three featured characters, if you like one of them. Premium doesn't have that. The drop rate for rarity is the same across all of them so I rarely if ever pull the premium.
On rare occasions there are ticket gachas that have given a guaranteed gold ticket on a 50 gem draw, so those are worth saving for...but if you're new then there are higher odds that you will get something useful to you now anyways.