Nowhere does it say there is an end.
Besides infinite cannot be counted cuz its limitless...thus uncountable would be a right word to describe it. Its not wrong. Thus its a neutral synonym.
extending indefinitely : endless; immeasurably or inconceivably great or extensive : inexhaustible; subject to no limitation or external determination… See the full definition
www.merriam-webster.com
Infinite on the other hand..if subjected to same scrutiny as Endless.
We can find in Full Definition section....
1) Extending indefinitely
2)Immeasurable or Inexhaustible.
Again...these are also neutral statements...but unfair scrutiny would nullify even infinite being "infinite".