Source: TW
“…It was he alone who performed the Agnihotra daily and successfully organized the Aśvamedha, adoring the almight by suppressing the sins…manifest to all as the rising Sun—the only source of light in the sky. Protected by Lord Viṣṇu…he ruled like King Bhoja of the old.”
– Sūryamalla Miśra of Bundi.
The comparison with Bhoja is quite accurate. Both men had very similar lives. Polymath geniuses. Their activities in field of science, religion suggesting they were men of leisure but actually lived during the most turbulent time of the century.
Both undertook great architectural endeavours: Bhojatal, Bhojeshwar, Jaipur, Jantar Mantars, etc.
Alliances
Bhoja forming an alliance to fight the Turkic invasions, and against the Chalukyas, sending help to Shahi ruler Anandpal; Jai Singh uniting Amber-Mewar-Marwar against the Mughals and then the Hurda conference, helping Chhatrasal Bundela.
“Suppressing all the sins”
Both were involved in suppression of unorthodox and “degenerate” practices: Bhoja massacring the Nilapata cult—dark-garment wearing hedonists. Jai Singh banning the practice of madhuropāsana of Ramanandis—meditating upon bhagavān’s amorous interactions, along with laws he framed & enforced in his kingdom & governorates.
Warfare
Bhoja’s treatise on mechanized warfare, Jai Singh’s gunfoundry & arming every soldier with firearms.