Yes, those 1088's are the much more common, newer style c.1940's-50's pan.
P. 28 red book shows several versions of the early 1088 deep skillet with lips and quite flared out compared with the later 1088 with pretty vertical sides and no lips. The early style goes way back into the non-catalog number days but is the same pan. That's the one I would look for or a Griswold deep (732,33,34 are nicer than the 777,78,79 pans I think) or a No.90 Griswold bottom or complete set. Of course you don't get covers to fit the 732 series or a standard cover for the No.90 but, I think, a standard cover will fit the No.80 deep Griswold skillet set as its sides do not flare out so much.
Steve