I have the copper one, but no button tops, only 25R's.
I will say that they're a pretty tight fit, but the length of the atomizer 510 makes a noticeable difference.
One atty in particular causes the button to be almost flush (still recessed) by a fraction of a millimeter, all the rest leave the button recessed by about 1mm.
I tried to find the length of the button top AW's to compare to my 25R's, but couldn't find the info. I'll update if I do.
ETA: nothing definitive, but the AW's seem to be around 67.8mm tall, while the 25R's seem to be 65mm on the nose, more or less. I wouldn't be surprised if the AW's are too tall for a recessed button. The SMPL is ridiculously short for an 18650, but worth buying new batteries for, if you get my drift. Good luck!