I am currently working full time on my Vanilla WoW leveling guides. Soon there will be a 1-60 speed leveling guide for Alliance, along with in-game guide versions available for my members area. As of right now, there is no members area, but if you would like to show support for my efforts into this project, you can simply donate to me via Patreon if you like (you will get some cool rewards in return). Or you can donate directly with PayPal if you like. All donations are highly appreciated and they will only motivate me more to continue making the best vanilla WoW leveling guides on the web.
In the end, while it may be a huge cop-out, it really does come down to personal preference. Some people will simply not be able to handle the huge downtime between pulls, not being able to buy a new skill rank because you spent all your money on food and drinks (mages were popular for a reason back then), the very slow pace of leveling, and a whole lot more frustrations and not user-friendly features. On the other hand, the experience really is significantly different enough from modern WoW that it does feel enough like a "new" game, or at least a new and different expansion. An expansion that has many more differences than the last 3 or so, something that's both new and old and familiar. And, yes, it also offers massive quantities of nostalgia for those of us that played Vanilla, but what's so wrong about that?
Only really to expand on Gráinne's comment as regards the 'collecting' and 'roster development' sections - which are, as said 'distinct' although they are intrinsically linked - I would like to point you in the direction of the in-game Achievements > Battle Pets > Collect tab. There are a series of achievements called Raiding With Leashes, pretty much all of which can be completed via the auction house - if you have the gold/inclination - or by completing old raids.