We just tried on our test environment. Pages is purged correctly by call wp-cron.php:
10/15/17 12:40:31.764 [192.168.0.197:62743 1 GHN] GET HTTP/1.1 /wp-cron.php
10/15/17 12:40:31.764 [192.168.0.197:62743 1 GHN] Query String:
10/15/17 12:40:31.764 [192.168.0.197:62743 1 GHN] Cookie _lscache_vary: admin_bar:1;logged-in:1;role:99
10/15/17 12:40:31.856 [192.168.0.197:62743 1 GHN] X Cache_control -> private ( logged in user )
10/15/17 12:40:31.857 [192.168.0.197:62743 1 GHN] GUI init
10/15/17 12:40:44.606 [192.168.0.197:62743 1 GHN] --------purge_tags prev is: 141
10/15/17 12:40:44.616 [192.168.0.197:62743 1 GHN] X-LiteSpeed-Purge: public,0051_Po.149,0051_URL.d62a193226406583dd5a899de293105e,0051_W.recent-posts-2,0051_Po.141,0051_T.2,0051_A.1,0051_PT.post,0051_F,0051_H,0051_PGS,0051_PGSRP,0051_D.201710
10/15/17 12:40:44.617 [192.168.0.197:62743 1 GHN] X-LiteSpeed-Purge: public,0051_Po.149,0051_URL.d62a193226406583dd5a899de293105e,0051_W.recent-posts-2,0051_Po.141,0051_T.2,0051_A.1,0051_PT.post,0051_F,0051_H,0051_PGS,0051_PGSRP,0051_D.201710,0051_REST
10/15/17 12:40:44.617 [192.168.0.197:62743 1 GHN] X Cache_control -> stale
10/15/17 12:40:44.620 [192.168.0.197:62743 1 GHN] --------purge_tags prev is: 141
10/15/17 12:40:44.630 [192.168.0.197:62743 1 GHN] not cacheable before ctrl finalize
10/15/17 12:40:44.634 [192.168.0.197:62743 1 GHN] X-LiteSpeed-Cache-Control: no-cache
10/15/17 12:40:44.634 [192.168.0.197:62743 1 GHN] X-LiteSpeed-Purge: public,stale,0051_Po.149,0051_URL.d62a193226406583dd5a899de293105e,0051_W.recent-posts-2,0051_Po.141,0051_T.2,0051_A.1,0051_PT.post,0051_F,0051_H,0051_PGS,0051_PGSRP,0051_D.201710,0051_REST
10/15/17 12:40:44.634 [192.168.0.197:62743 1 GHN] Optimizer bypass: Not frontend HTML type
10/15/17 12:40:44.634 [192.168.0.197:62743 1 GHN] End response
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If it continually missed from purge, you may need to create a tix. Our support team can help to figure out why.