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No. Blixt is a LN node on your mobile. Full Bitcoin node is something else. When you say "full node" means you download all blockchain locally and use those blocks directly.
You can have also pruned node, Neutrino or Electrum SPV.
Blixt is connecting to a Bitcoin node (your own node or random) through Neutrino, to sync the blocks and from that node. Then yes, you have a full LND node on your mobile, managing private LN channels.