Most meters (the ones w/o the big white domes) whether in a camera, or hand held meter are reflected type meters. Pointed at a object, scene, face, etc. they measure the light being reflected off of the object. My old luna Pro has a dome that will slide over the meter port which converts it to an incident meter, which measures the light source.
A spot meter is a subset of the general class of reflected meters. Some reflected meters allow one to add optics that would narrow the field of view the meter "sees". Sort of converting it into a quasi spotmeter. I took it to be what your question was about... Yes they are the same with limitations.
I say quasi because a true spotmeter is "very" narrow in view. Typically 1 degree, The typical "addon" doesn't typically narrow down to 1 deg but as I recall to the range of 3 to 5 degrees.
The newer Sekonic and Gosen multifunction meters do it all.
Bob