They're close, but it's not recharged from the mantle in the context of Paracutin or Xico.
That implies a direct relationship from mantle to surface which implies a mantle plume / hot spot. Furthermore, Paracutin is a cinder cone while Xico is a tuff ring... ie. they are also different from one another in their formation.
There are lots of types of volcanoes and each with their own formation... having magma derived from the mantle is hot spot volcanism and leads to things like Iceland, Hawaii, and Yellowstone.
Contextually, Mexico's volcanism is strongly related to the dehydration of a subducting slab, whereby the addition of fluids into the mantle wedge generates a bouyant melt which then rises as individual diapers until it reaches the base of the crust. Here it ponds / pools because it reaches neutral buoyancy. It will undergo crystal fractionation until the melt portion becomes positively buoyant, felsic, and continues upwards. Some of these stagnate on their way up, fully solidifying (plutons, etc.) while others form magma chambers and erupt as strato / composite volcanoes. Rising magma will continue to recharge empty chambers, and potentially mix / mingle with older magmas.
Paracutin wasn't really a "one off eruption." That's a gross oversimplification. From the wiki:
The nine-year activity of the volcano is divided into four stages...
The first phase (Quitzocho) extended from February 22 to October 18, 1943, with activity concentrated in the cracks that formed in the Cuiyusuro Valley, forming the initial cone. During this time, the ejected material was mostly lapilli and bombs. In March, the eruption become more powerful,with eruptive columns that extended for several kilometers. In four months, the cone reached 200 meters and in eight months 365 meters. During this time period, there was some lava flow. On June 12, lava began to advance towards the village of Paricutin, forcing evacuations the next day.
The second phase went from October 18, 1943 to January 8, 1944 and is called Sapichi, meaning child, referring to the formation of a lateral vent and other openings on the north side of the cone. Ash and bombs continued to be ejected but the new vent sent lava towards the town of San Juan Parangaricutiro, forcing its permanent evacuation. By August, the town was completely covered in lava and ash, with only the upper portions of the main church still visible...These two phases lasted just over a year and account for more than 90% of the total material ejected from the cone, as well as four-fifths (330 meters) of the final height of 424 meters from the valley floor.
The third (Taqué-Ahuan) extended from January 8, 1944 to January 12, 1945 and focuses on the formation of a series of cracks on the south side of the cone as well as an increase of activity in the center. Lava flows from this time mostly extend to the west and northwest. During this period there was also the formation of a mesa now called Los Hornitos to the south.
Over the next seven years, the volcano became less active, with the ejection of ash, stone and lava coming sporadically, with periods of silence in-between. Professional geologists pulled out of the area in 1948, leaving only Celedonio Gutierrez to continue observations. The last burst of activity was recorded by him between January and February of 1952. Several eruptions occurred in succession and a three-kilometer smoke column was produced.
Xico is a tuff ring, which is within the Chichinautzin volcanic field (a volcanic field is not a "one off eruption" either). It's the result of a phreatomagmatic eruption (essentially when rising magma interacts directly with shallow ground water).
Like I said, he/she is close but doesn't know enough to make a factual statement. It's not derived directly from the mantle, it wasn't a "one off eruption" and it very easily could have had recharging occurring in the magma chamber during the eruptive phases. Though that would have to be determined by petrological / geochemical analysis to be certain. The formation of Xico is not the same as Paracutin, and has next to nothing to do with a magma chamber being recharged from the mantle.
