That's why I asked about the map- some tuners don't like to add load during low RPM hi MAP, as it results in some bucking- I believe it needs tuned in that area, but need to see the map to verify.
Yes, there is an "accelerator pump" function in EFI, called accelerator enrichment. (AE)

 

My wife looked at me this morning and said what’s with the stubble? . I said “WOT Stubble?”

I crack myself up..