  V404 Cyg, Cyg X-3, V4641 Sgr, and GRS 1915+105 are among the brightest X-ray
binaries and display complex behavior in their multiwavelength emission. Apart
from Cyg X-3, the other three sources have large accretion disks, and there is
evidence of a high orbital inclination. Therefore, any large scale geometrical
change in the accretion disk can cause local obscuration events. On the other
hand, Cyg X-3 orbits its Wolf-Rayet companion star inside the heavy stellar
wind obscuring the X-ray source. We study here whether the peculiar X-ray
spectra observed from all four sources can be explained by local obscuration
events. We fit the source spectra with two physically motivated models
describing either a scenario where all the intrinsic emission is reprocessed in
the surrounding matter or where the emitter is surrounded by a thick torus with
variable opening angle. We show that the X-ray spectra during specific times
are similar in all four sources likely arising from the high-density
environments where they are embedded. The fitted models suggest that a
low-luminosity phase preceding an intense flaring episode in the 2015 outburst
of V404 Cyg is heavily obscured, but intrinsically very bright
(super-Eddington) accretion state. Similar spectral evolution to that of V404
Cyg is observed from the recent, unusually low-luminosity state of GRS
1915+105. The modeling results point to a geometry change in the (outflowing)
obscuring matter in V404 Cyg and GRS 1915+105, which is also linked to the
radio (jet) evolution. All sources display obscured X-ray emission but with
different intrinsic luminosities which points towards different factors causing
the obscuration. This work highlights the importance of taking into account the
reprocessing of the X-ray emission in the surrounding medium in the modeling of
the X-ray spectra that may well take place in other sources as well.
