Walz concluded that not taxing churches is a far less of a government encroachment of the establishment clause than taxing churches. The Town of Greece ruling does not need any reference of taxation to be relevant. I am citing a few cases as judicial examples as argumentative precedent if a church is challenged. I do not believe in case law for constitutional matters. The two different rulings support each other in regarding the historical tradition and intent by the Congress that created the Bill of Rights.
From Walz:
Governments have not always been tolerant of religious activity, and hostility toward religion has taken many shapes and forms economic, political, and sometimes harshly oppressive. Grants of exemption historically reflect the concern of authors of constitutions and statutes as to the latent dangers inherent in the imposition of property taxes; exemption constitutes a reasonable and balanced attempt to guard against those dangers. The limits of permissible state accommodation to religion are by no means coextensive with the noninterference mandated by the Free Exercise Clause. To equate the two would be to deny a national heritage with roots in the Revolution itself. See Sherbert v. Verner, 374 U.S. 398, 423 (1963) (HARLAN, J., dissenting); Braunfeld v. Brown, 366 U.S. 599, 608 (1961). See generally Kauper, The Constitutionality of Tax Exemptions for Religious Activities in The Wall Between Church and State 95 (D. Oaks ed.1963). We cannot read New York's statute as attempting to establish religion; it is simply sparing the exercise of religion from the burden of property taxation levied on private profit institutions.
From Walz:
It is significant that Congress, from its earliest days, has viewed the Religion Clauses of the Constitution as authorizing statutory real estate tax exemption to religious bodies. In 1802, the 7th Congress enacted a taxing statute for the County of Alexandria, adopting the 1800 Virginia statutory pattern which provided tax exemptions for churches. 2 Stat. 194. As early as 1813, the 12th Congress refunded import duties paid by religious societies on the importation of religious articles. [n6] During this period, the City Council of Washington, D.C., acting under congressional authority, Act of Incorporation, § 7, 2 Stat. 197 (May 3, 1802), enacted a series of real and personal property assessments that uniformly exempted church property. In 1870, the Congress specifically exempted all churches in the District of Columbia [p678] and appurtenant grounds and property "from any and all taxes or assessments, national, municipal, or county." Act of June 17, 1870, 16 Stat. 153.
From Town of Greece:
134 S.Ct. 1811 (2014) This Court has often noted that actions taken by the First Congress are presumptively consistent with the Bill of Rights, see, e.g., Harmelin v. Michigan, 501 U.S. 957, 980, 111 S.Ct. 2680, 115 L.Ed.2d 836 (1991), Carroll v. United States, 267 U.S. 132, 150-152, 45 S.Ct. 280, 69 L.Ed. 543 (1925), and this principle has special force when it comes to the interpretation of the Establishment Clause. This Court has always purported to base its Establishment Clause decisions on the original meaning of that provision. Thus, in Marsh, when the Court was called upon to decide whether prayer prior to sessions of a state legislature was consistent with the Establishment Clause, we relied heavily on the history of prayer before sessions of Congress and held that a state legislature may follow a similar practice. See 463 U.S., at 786-792, 103 S.Ct. 3330.