Lower pressure product is less expensive in almost all plants. Do not over-specify the required delivery pressure.
Different process cycles will produce gaseous oxygen or nitrogen at quite different pressures - from just above atmospheric pressure to about 100 psig (7 barg) - without a product compressor. It is worth investigating the trade-offs among capital cost, process simplicity and operating cost for various configurations.
Oxygen compression equipment can be expensive. Plants using cycles that produce product at the required delivery pressure (e.g. an oxygen PSA or LOX boil or pumped LOX cycle vs. a VSA or conventional low product pressure processes) may be a better choice than those that require a product compressor