[bmn__]

False.

    $ perl -Mwarnings -E'sub f { $c++; say $c if 0 == $c % 1_000_000; f() } f'
    Deep recursion on subroutine "main::f" at -e line 1.
    1000000
    2000000
    3000000
    4000000
    5000000
    6000000
    7000000
    8000000
    9000000
    10000000
    11000000
    12000000
    13000000
    14000000
    15000000
    16000000
    17000000
    18000000
    19000000
    20000000
    Terminated

You get a warning after 100 calls which almost always indicates a bug. In case it's a genuine deep recursion, the warning can be easily suppressed with `no warnings "recursion"`.

On my computer, the program continues to run for about 10 seconds, consuming 9 GB virt./res. after which it is killed off by `earlyoom`.

[throwaway984393]

It might have behaved slightly differently 20 years ago when I ran into it :) or maybe I misremember!