Are ‘Adpressa’ and ‘Albospica’ actually the same or different plants?  A few comments from authorities:

•‘Adpressa’  Dwarf form, broadly conical, with numerous branches, densely twiggy, buds and shoot tips white, needles very densely arranged, oblong-oval, 6-8 mm long, abruptly truncated. (= S. sempervirens adpressa Carr.; S. sempervirens albospica Veitch).  Developed before 1867 by André Leroy in Angers, France.  (G. Krüssmann, Manual of Cultivated Conifers, Timber Press, 1985, p. 275).

•‘Adpressa’ (‘Albospica’)  The tips of young shoots are creamy-coloured, and the short leaves regularly disposed in one plane.  It is often grown as a dwarf shrub but unless frequently cut back will eventually make a large tree.  (The Hillier Manual of Trees & Shrubs, Pocket Ed., 1998, p. 861).

•There are over 25 named varieties of Coast Redwood.  One of the best known is ‘Adpressa’ a French plant described in 1867 but now thought to be a variant of ‘Albospica’ which only dates back to 1903 and was raised in Italy.  It produces numerous young creamy-white leafy shoot tips in spring.  Although sometimes described as a ‘dwarf’ it would certainly out grow a small garden.  (The Illustrated Encyclopedia of Trees, 2nd Ed., D. Moore and J. White, Timber Press, 2003, p. 91).

•‘Adpressa’ = ‘Albo-spica’   ….Very rare in North America; in large scale production since ≤ by Mitsch nursery of Aurora, OR.  Trees dense, pyramidal, wispy-looking.  Shoots much narrower and slenderer; young tips creamy-white.   Needles much smaller than typical, bluer, and uniformly directed forward….  Growth slow.  Often kept as shrub by pruning. Record 92 ft × 10.5 ft, Gloucestershire, England (1984). (North American Landscape Trees, A. L. Jacobson, Ten Speed Press, 1996, p.591).