The word for 'wasp' does not require a laryngeal:
Middle Persian wpz, Lat. vespa, Welsh gwychi, Old English wæfs, Lith. dial. vapsà, Russian osá are all compatible with *uobʰs-h₂-
The only reason to reconstruct a laryngeal is if you assume the word is derived from 'to weave' (seeing wasps as 'weavers' of their nests), but this is not evident.
The word for 'weave': The evidence for a *h₁ in this word the Mycenean future participle e-we-pe-se-so-me-na 'that must be woven', attested once:
pa-we-a₂ e-we-pe-se-so-me-na WOOL 20 'twenty woolen cloaks to be woven'
The alternative interpretation as 'to be well boiled' is highly improbable (see Beekes 1969: 67).
The evidence for *h₂/₃ is presumably the connection with Hitt. huppai-zi 'to blend', however this is not possible due to the fortis -pp- in Hittite, which implies IE *p, and the semantics are not that strong, either.
But once again, this is only relevant if wasps were seen as 'weavers', which is rather a speculative conjecture.