Blood sun not stopping channel abilities on lands.
Blood sun says "all lands lose all abilities except mana abilities" that means all lands, not just lands on the battlefield, so lands that have Channel abilities you can cast from your hand or cycling should not work. But they do in arena.
Blood sun says "all lands", not " all lands on the battlefield" so lands in libraries and hands should also lose all abilities.
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[Deleted User] commented
109.2. If a spell or ability uses a description of an object that includes a card type or subtype, but
doesn’t refer to a specific zone or include the word “card,” “spell,” “source,” or “scheme,” it means
a permanent of that card type or subtype on the battlefield. -
[Deleted User] commented
NOTES AND RULES INFORMATION FOR BLOOD SUN:
#2 - Land cards not on the battlefield aren’t affected. (2018-01-19)