Both terms are somewhat imprecise. The former term refers to the fact that the esotropia (ET) is not always present and the latter to an ET that is always present but the person fixates with both eyes (like being ambidextrous)
Most people with alternating ET have congenital ET present at or shortly after birth. It is not due to being farsighted and usually not associated with reduced vision in one eye (amblyopia). It generally always needs surgery.
Intermittent ET is generally "accommodation" ET due to being excessively farsighted or having an overactive focus reflex. If the child is not trying to see clearly (focus) the eyes may be straight or almost straight. When the child tries to see clearly and does focus it pulls the eye in thus its "intermittent". To have clear vision the child has to focus, that crosses the eye, the brain sees double and doesn't like it so disregards one eye central vision and it starts to fail (develop amblyopia). This type can sometimes be treated with glasses (sometimes bifocals) and patching.