Down to twelve gliders total (including three from an eater-to-integral, not shown here):

`x = 37, y = 33, rule = B3/S23`

35bo$34bo$34b3o5$17bo$15bobo$16b2o2$27bo$26bo$26b3o3$15bo$5bo9b3o$3bob

o12bo$4b2o11b2o7$8b2o14b2o$9b2o4b2o7bobo$b2o5bo5bobo7bo$obo13bo$2bo15b

3o$18bo$19bo!

Fourteen-glider variation (same inclusion):

`x = 33, y = 27, rule = B3/S23`

21bo8bo$19bobo8bobo$20b2o8b2o2$23bobo$14bo8b2o$14b3o7bo3b2o$17bo9b2o$

16b2o11bo$21b2o$20bo2bo$11b2o7bo2bo$12b2o7b2o$11bo$23b2o$15b2o6bobo$

15bobo5bo$10b3o2bo$12bo$11bo5$b2o$obo$2bo!

This variant could be improved with a better way to synthesize that spark on the right.

If an eater head is desired instead of a plain tail, the component becomes shockingly cheap at just five gliders (without the inclusion this time):

`x = 15, y = 12, rule = B3/S23`

3bo$3b3o5bobo$6bo4b2o$5b2o5bo2$b2o5bo3b3o$obo4b2o3bo$2bo4bobo3bo2$4b2o

$4bobo$4bo!

While searching for these, I ended up finding this:

`x = 30, y = 26, rule = B3/S23`

14b2o$14bobo$16bo$16b3o$19bo$18b2o$27bo$27bobo$27b2o2$24b3o$24bo$9b2o

14bo$8bobo$10bo3b2o$15b2o$14bo5$13b3o$b2o9bo2bo$obo12bo$2bo12bo$12bobo

!

...which can be followed by this:

`x = 30, y = 21, rule = B3/S23`

27bo$11b2o14bobo$11bobo9bo3b2o$13bo8bo$13b2o7b3o$15bo$13b2obo6bo$12bo

2bo6b2o$11bo2bo7bobo$12b2o9$3o$2bo$bo!

This could also be reached more directly, by using the previous converter sans LWSS, if a suitable domino spark could be made.

EDIT: Original component down to ten gliders (with inclusion):

`x = 51, y = 38, rule = B3/S23`

49bo$48bo$48b3o4$18bo$18b3o$21bo$20b2o2$38bo$38bobob3o$38b2o2bo$43bo2$

39bo$38b2o$38bobo8$bo$b2o$obo3$33b2o$33bobo$33bo2$5bo$5b2o$4bobo!