So, looking at the new Remastered Swashbuckler.
It is clear that the Archetype doesn't grant the precise strike class feature, right away, and if they use a feat to buy it later, it isn't the 'same' as the main class version. It is also true that they gain a Style, but don't get any specific benefits from that style other than access to choose that skill to advance, and have its action gain the Bravado trait, to be used to gain Panache.
What seems unclear is, do Multi-class Swashbuckler archetypes gain the Stylish Combatant feature. As a sibling ability to Precise Strike (which we know they don't get) it seems believable they might not get it if not mentioned.
It says the only thing you get from your style is 'access' to choose advancing your style skill, and you gain the Bravado to Tumble Through, and actions listed in your style. But Styles is after the definition for Stylish Combatant, so not part of things you don't get because of Style.
The Dedication makes it clear that you gain the ability to gain Panache. However, as far as I can tell Panache does absolutely nothing without Stylish Combatant, and it also is tied to what Bravado does. So I'm feeling like by the rule indicating that the Multiclass Swashbuckler is supposed to have access to Panache and Bravado, the basics of Panache and Bravdo rules are supposed to be applied. And that Stylish Combatant is a part of that base rules.
I then went through the feats for the MultiClass Swashbuckler Archetype and saw the swashbucklers speed feat. This grants a +5 speed (which first thought made me think opse, maybe they don't get it) until I note that is when you don't have panache. Then it says your bonus becomes +10ft speed bonus when you have panache. That would be very consistent with the concept that without the feat, they could easily be expecting them to have the +5 to their speed normally when they have panache, and this ability boosted the speed, both while having panache, as well as the when they don't. While not absolutely cut and dry, this does make me lean towards the belief that the intent is for multiclass swashbucklers to have Stylish Combatant.
Otherwise, it would seem like paying a feat to gain the ability to gain Panache, which does nothing for you would seem to break expectations. It would mean the dedication granted nothing more than a very restricted skill feat advancement, and open a potential for you to gain abilities later. I think it would be very akin to saying you gain the ability to do the Cast a Spell action but not granting them any slots for spells or even cantrips. That seems inconsistent.