Hi,
I speak it as one consonant "b" -> 'abr... (because of the influence you mentioned.)
In the "Aussprachewörterbuch" (Duden Bd.6) they give the standard for the similar word: Abbrändler
If you use the word "Abbrändler" as pattern:
Abbr... is spoken as 'apbr... by the Duden standard, if "ab" is a prefix.
I thought this is "Überbetonung" = overemphasis, exxagerated, but it isn't. Both consonants "p" and "b" are spoken separately according to the Duden standard.
Note:
In the foreign word "Abbreviatur" the Duden-standard is one consonant "b", however: 'abr...