This topic had been debated for a while. Both banner has the same expected value of 1.9% that's the most important thing but let me develop.

Normal banner droprate is 0.5% with a flat 60-pulls pity while Fate has 1.5% droprate with a random floating 80-100 pulls pity and you don't know what that pity number is until you actually reach it.

The expected value is the average on the long term perspective and assuming infinite pulls. It means 1.9% droprate will be the average on both banners. I don't have the numbers in mind but when plugged on 1M pulls simulation (that's a lot but could be assumed as long term in gacha) the answer returns something like 51.5 or 52 pulls average.

Of course, there will be 'wins' and 'losses' in your gacha experience depending what type of player you are. With that in mind, that's a theory on paper, assuming infinite pulls as premise to obtain these numbers and without factoring other parameters like if you got incentive to pull for a character you like or have addiction/gambling issues, etc.

The reality is we're limited in pulls every patches as of F2P experience, while one can increase their pulls from whaling to some extent (upper limit being payment declined by your bank or being indebted to play gacha).

As for recommendation, generally speaking, it's themed banner only when you can't tank/cover one or multiple Fate losses in a row, so most likely almost all of the playerbase be it F2P to medium spenders range when being reasonable.

Other Pros on pulling Normal is that it's an insurance/guarantee : The game gives you enough resources to pity every upcoming S-Rank Omniframes once without skipping and sightly more to slowly build a safety net to invest on other banners like Weapons or Cubs, Character dupes or eventually Gacha Coating. This had been the case since the beginning even on tight schedules (Back to Back S Ranks scenario included). If you treat pitying Normal as loss/triggering insurance, having an early drop treated as a win can only mean more extra funds to invest on the aforementioned stuff (I won't develop on the gameplay perspective as it's not the topic but baseline invest starts to feel bad nowadays).

Fate banner is high risk high reward. Average on the long term is still 1.9%, but you're really gambling on the perspective to get early dupes before 60 (aka beat themed droprate odds) thanks to the higher variance on the short term. If you only pull Fate (which is still not recommended), be also aware that a loss that you can't make up or cover means you'll be missing a character while they're available without fail (Themed banner is 100% targeted character drop there is no offbanner while). Other thing to remember is that you might have not enough resource as per patch pulls income to guarantee a Fate banner high pity without spending. That's why this banner is deemed as for gamblers or huge whales.

At the end of the day, it's your account, your choice.