Since base? Yes.
Since it landed? No.
Does it matter? Probably not.
As far as Time and Causality itself are concerned Lavos has always been in the DD ~ TD phase. Non-Existent Lucca outright states "It's a matter of cause and effect but the ruined future will manifest anyways." DBT where it resides and came to be, being non-existence, is also a Dimensional Void without time, space, no beginning and no end as well.
There are a bajillion reasons across threads and an entire blog post made for that, but long story "short"... Base Lavos was active in both base and from other time eras immediately after its defeat prior to even getting any upgrades in tier. Still in base, he transcends Time and Space and resides outside of its flow (even things that channel a fraction of its power such as the black omen work like this) and are unaffected by changes in it. At its absolute weakest as spawn as it just arrived on the planet, its presence alone distorts time enough to be creating gates across eras. Again, he was active immediately after his defeat both through his defeated self that ended up in the DBT and his past self in 12000 BC as well as an alternate that became aware of its defeat in 1999 and worked on solving that across another timeline. STILL in Base, it has alternate self summon shenanigans. All of its incarnations across timelines are "the same being yet entirely different". Way less significant characters are TP immune by default in the series (See CT cast which has way less of a paycheck in the space-time department than Lavos). Still in base, Ignored the Universal scale Cause and Effect of an entire timeline being restored that would dictate he should return to existence along with it. In base, if there were no restrictions of tiers in threads he would actually come back not long post its defeat and erasure as the DD instead of simply using base alternates as that's what happened in the verse.
Now this was all for base.
DD and TD Lavos is an entity with no beginning and no end, who gets so ridiculous that no matter how you kill it, there is an alternate for each and every timeline (of which there are infinite ones) and an alternate for each and every timeline erased from existence that ends up in the DBT (of which there are infinite ones as well).
You need to wipe it from every era, from every timeline across existence and from the entirety of the dimensional void that is the DBT, otherwise alternates will resume whatever it was doing instantly. OR the same Lavos you just defeated will just be sent to the DBT again which at this point is basically like taking a quick trip to the bakery for the thing. To get past that people use literal thousands years of prep and developed a Macguffin that was tailor made to oneshot it. Then they channeled the power of everyone across the timelines and channeled Lavos' own power against it as well because by itself the Macguffin was still not a sure fire. With that they wiped it from every single timeline along with the DBT.
And after doing that they reality warped every single timeline of the multiverse into a single plane of existence so there were 0 alternates left and 0 chances of there ever possibly being a point in time it could reappear from. Without any timelines other than the Unified one, the only absolute result is that "Lavos was wiped". And because "time was no longer dividided" - as in, there are no such things as "as many universes as there are potentialities", that means there wouldn't ever be any point or pobrability of Lavos reappearing or there being whatever "timeline" where an alternate could emerge from.