Eastern Catholics are not required to recite the Filioque - thus there is no reason for it to even be a factor in their spirituality. That being said, to explicitly reject it or to explicitly condemn it as a heresy would make it difficult to remain in communion with a Church which holds the decrees of Florence as binding. Would you agree with that?
All Catholics profess the monarchy of the Father as the ultimate origin of both the Son and the Spirit.
Denzinger,
Dogmas from Council of Florence
[From the Bull “Cantata Domino,” February 4, Florentine style, 1441, modern, 1442]
703 The sacrosanct Roman Church, founded by the voice of our Lord and Savior, firmly believes, professes, and preaches one true God omnipotent, unchangeable, and eternal, Father, Son, and Holy Ghost; one in essence, three in persons; Father unborn, Son born of the Father, Holy Spirit proceeding from Father and Son; that the Father is not Son or Holy Spirit, that Son is not Father or Holy Spirit; that Holy Spirit is not Father or Son; but Father alone is Father, Son alone is Son, Holy Spirit alone is Holy Spirit. The Father alone begot the Son of His own substance; the Son alone was begotten of the Father alone; the Holy Spirit alone proceeds at the same time from the Father and Son. These three persons are one God, and not three gods, because the three have one substance, one essence, one nature, one divinity, one immensity, one eternity, and all these things are one where no opposition of relationship interferes . *
[Circuminsession]
704 "Because of this unity the Father is entire in the Son, entire in the Holy Spirit; the Son is entire in the Father, entire in the Holy Spirit, the Holy Spirit is entire in the Father, entire in the Son. No one either excels another in eternity, or exceeds in magnitude, or is superior in power. For the fact that the Son is of the Father is eternal and without beginning. and that the Holy Spirit proceeds from the Father and the Son is eternal and without beginning.’’*Whatever the Father is or has, He does not have from another, but from Himself; and He is the principle without principle. Whatever the Son is or has, He has from the Father, and is the principle from a principle. Whatever the Holy Spirit is or has, He has simultaneously from the Father and the Son. But the Father and the Son are not two principles of the Holy Spirit, but one principle, just as the Father and the Son and the Holy Spirit are not three principles of the creature, but one principle.
denzinger.patristica.net/#n700