Mismapped Sequence ESC [ > (number) p

XTERM_SPM is mapped to both ESC [? (number) s and ESC [> (number) p. But only the first of those is used for mode save in xterm.

_VTE_SEQ(XTERM_SPM,              CSI,    'p',  GT,    0, NONE     ) /* xterm-set-private-mode */
_VTE_SEQ(XTERM_SPM,              CSI,    's',  WHAT,  0, NONE     ) /* xterm-set-private-mode */

TheESC [> (number) p sequence is used (and documented) as configuration option for mouse pointer auto-hide.

From https://invisible-island.net/xterm/ctlseqs/ctlseqs.html

CSI > Ps p Set resource value pointerMode. This is used by xterm to decide whether to hide the pointer cursor as the user types.