Remove some redundant base_ring methods #17952

Job	Run time
doctest (1.10, Linux, RPTU, normal-memory)	22m 43s
test (1.6, short, Linux)	20m 0s
doctest (1.11, Linux, RPTU, normal-memory)	22m 30s
doctest (nightly, Linux, RPTU, normal-memory)	23m 26s
test (1.6, long, Linux)	19m 10s
doctest (1.10, Linux, RPTU, normal-memory, depwarn=error)	22m 38s
test (1.10, short, Linux)	19m 25s
doctest (1.10, macOS, RPTU)	15m 3s
test (1.10, long, Linux)	22m 43s
test (1.11, short, Linux)	17m 26s
test (1.11, long, Linux)	14m 50s
test (nightly, short, Linux)	17m 31s
test (nightly, long, Linux)	18m 28s
test (1.10, short, Linux, RPTU, high-memory, depwarn=error)	19m 50s
test (1.10, long, Linux, RPTU, normal-memory, depwarn=error)	17m 10s
test (1.10, short, macOS, RPTU)	13m 59s
test (1.10, long, macOS, RPTU)	12m 40s
test (1.10, book, Linux, RPTU, normal-memory)	39m 55s
test (nightly, book, Linux, RPTU, normal-memory)	2h 30m 16s
	8h 29m 43s

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