If both calls and puts are sold deep in the money it is synthetically the same as selling otm calls and puts ie strangle. The spread for that strangle is going to be alot tighter than the itm spread you are suggesting.
that is right (example with current values, spread value for 1):
ES FOP 20230519 3900 C CME 50 E-mini S&P 500 [EW3K3 C3900, 557297895, mult: 50] ITM $ 112
ES FOP 20230519 3900 P CME 50 E-mini S&P 500 [EW3K3 P3900, 557297927, mult: 50] OTM $ 75
ES FOP 20230519 4100 P CME 50 E-mini S&P 500 [EW3K3 P4100, 557297707, mult: 50] ITM $ 62
ES FOP 20230519 4100 C CME 50 E-mini S&P 500 [EW3K3 C4100, 557297890, mult: 50] OTM $ 37.50
payoff (OTM, same as ITM version):
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