They are NOT the same. Read the descriptions very carefully.
The healing and mana pots you can make with starting alchemy are instant restoration salves -- Basic Healing Potion (Heals 200 HP instantly, no HoT effect), Basic Spirit Potion (restores 200 mana instantly, no HoT effect)-- These potions can be used at the same time as the vendor bought Healing/Mana potions. Vendor sold potions have a 15 second cooldown, alchemy made potions have a 60 second cooldown, and you can have both cooldowns ticking at the same time.
These 2 items are NOT vendor sold. You will NEVER see a Vendor selling them. If you find a vendor selling them, please send Arienne a tell on the Artemis server because I would drop alchemy in a heartbeat and just BUY them from a vendor.
On a side note, you will probably always find the mana potions being sold for 3 times the price of healing salves because for some reason, the devs decided to make the mana potions cost 3 times the materials to make as opposed to the healing salves. Where healing takes bundles and sand, mana takes sap and nuggets.
~ With all the beds of roses in life, why do I always get stuck with the thorns?